Possible outcomes

When we talk about the possible outcomes it is the part of the probability (also read on Binomial Probability Distribution) that means how many ways for an event of occurrence. It is defined in the term as if there is an experiment or collection of experiment then there will be many possibilities for occurrence of different types of outcomes that are defined through the probability .This can be explained through the examples as :
Example (1) : If we toss a coin then there will be maximum two possibilities of occurrence of events that are head and tail .
Example (2) : If talk about rolling a dice then there will be possible six outcomes that are occur.
Example (3) : If We draw a card from a deck of cards as well as draw three cards form deck of cards .
Example (4) : If a bag having the different colored marble balls then there are various possible outcomes of drawing a marble .
So these above are some examples of events (also read on combined events probability) that have some different kind of outcomes at different time.
We can elaborate these examples as if talk about rolling a dice then there will be six possible outcomes that are 1 , 2 , 3 , 4 , 5 and 6 and as we define that a coin have two faces so there will be maximum two outcomes when toss it .
As well as In a regular deck of cards there will be 52 cards then if choose a card from the deck of card then there will be 52 possible outcomes and each time they choose card will be different.
If we talk about the example of rolling a dice of two colors as red and green then there will be 36 possible outcomes for that experiment.


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Mean

In statistics we define the term mean . Now What is a Mean? It is the part of the mathematics in which we define the central value for the given set of data values .Mean is a concept that define the one value that represent the whole set in terms of single value .Sometimes it is also called as the average for the given set of data .When we talk about the average of the values is also known as the arithmetic mean that is define as the sum of the all values in the given data set that is divided by the number of values in the data set .
If there is five values in the given data set that are n1 , n2 , n3 , n4 and n5 then the average or arithmetic mean is defined as the formula
Mean = sum of all values / number of values = (n1 + n2 + n3 + n4 + n5 ) / 5 .
If we talk about the types of mean then there are three types of mean in the statistics that are named as:
(I) : arithmetic mean
(II) : geometric mean
(III) : harmonic mean
As we discuss above normally arithmetic mean is define as the average value or standard average.
When there is talk about the geometric mean then it is calculated by multiplying all the terms .This types of mean are used for calculation of growth rates.
Geometric mean g = ( ∏ⁿ _i=0 g _i ) ^{1 / n} .
When some relation is define between the units of set of numbers then there will be use harmonic mean.
When we talk about the use of the mean it is mainly helps in probability that is also known as the mean in probability. for more information on mean visit here

In upcoming posts we will discuss about Possible outcomes and Decimals Percents, and Fractions in Grade V. Visit our website for information on accounts syllabus for WB 11th class

Possible combinations

Probability (also read about Permutation and Combination) is a concept of mathematics which works based on the logical ability. It means that probability is a concept which is used to estimate the outcome of several numbers of procedures. Suppose there is a work which is done by any person again and again, then the question is how to we calculate the outcome of the work. At that time we use the concept of probability. In the mathematical definition we can say that if an event can occur in n ways and a particular result can occur in m ways, then the probability of the particular result occurring is m / n. Play probability of compound events worksheet
Suppose there is a boy, who tossing a coin then there is a two possible outcome. These possible outcomes are Head and tails. In the same aspect we can say that there is a die which is thrown by somebody then there is a six possible outcome which is one, two, three, four, five and six.
Suppose in the case there is a boy who throws the two dies together at a time. Then the possible outcome will be thirty six. It means that there are thirty six possible outcomes form throwing the two dies together. The collections of all estimation of these possible outcomes are known as possible combination. Possible combinations are the collection of total number of possible outcome which defines that what will be the outcome form the event. It means that an event generate the outcome form the available list of possible outcome. Now we show you the some of the example that helps in understanding the concept of possible combinations:
Example: Suppose in the game of playing card, a card is picked up from the pack of card. Now we need to find what will be the possible combination of the outcomes for the red card by applying possible combinations formula?
Solution: As we know that there are only thirteen red cards are available in the pack of playing cards from one to king. Then the possible combination of picking a red card is only thirteen cards. So we can say that the possible combination for a particular game event is thirteen. In the next session we are going to discuss Grade IV, Bar or line graphs.

In upcoming posts we will discuss about Mean and Multiplication and Division in Grade V. Visit our website for information on Andhra Pradesh geography question paper

median

Hello students, in this blog we are going to read the How to Find Median. Median is the very important concept that comes under in statistics and probability. In the statistics it comes under the measure of the central tendency. Median divides the number series into two equal parts. In any number list the middle number from the number list is the median. For example we have number series 1, 2, 3, 4, 5, 6, 7 so the median will be 4. To calculate the median (read here for more) the following steps should be consider in mind, that are: -
-List of numbers should be finite.
-The numbers should be arranged in ascending order.
-If the given number list is odd then the median will be the number that is coming in the middle.
-If the given number list is even then the median will be calculated by taking two middle number's average.
Let’s take some example to understand the median more.
Example 1: - Find the Median for 14, 11, 18, 20, 28 and 29.
Solution: - Given the set of numbers are: 14, 11, 18, 20, 28, 29
Arrange the numbers in an ascending order 11, 14, 18, 20, 28 and 29
The given set has an even number of value.
So the median will be the average of two middle numbers.
The average of two number is (18 + 20)2 = 38 / 2 = 19.
So the median is 19.
Example 2: - Find the Median for 11, 34, 14, 18 and 29.
Solution: -The given set of numbers: 11, 34, 14, 18, 29
Arrange the numbers in the ascending order 11, 14, 18, 29, 34
The given set has an odd number of values.
So the middle number will be the median.
The center number is 18
So the median is 18


In upcoming posts we will discuss about Possible combinations and Compare and Simplify Fractions in Grade V. Visit our website for information on CBSE class 12 chemistry previous years question papers

Collect and represent data

Before doing an experiment or for making some decision that are based on some previous data there will be of collect and represent the data .This is the only way through which one can easily, efficiently makes the effective plan or strategies that are totally base on the previously stored data .Before storing the data it should be keep in mind that how data is collected and also from where data is collected. Try data analysis worksheets here
Data should be collected correctly as well as from the true resource that have the timeliness that means when data is needed by someone it can be easily retrieved by them and after collection of the data it should be organized according to some keys .
After all the collection and organization of the data there will be next very important concept of representing the data. It is the only concept through which the user can understand the previously recorded data and makes some decision on that .Collect and represent data in probability are also helpful that means there data are used to making the future strategies as well as helps in comparison of the data among several years for the same period of time .
There are several Data Collection Methods and various type of data representation like image processing, Global positioning system .The main motive behind display the data is to understand the available data and deriving the meaning and also extract the useful in conclusion .The representation of data can be done in many ways like:
Statistical tables
or by rank order
or by frequency order .
These forms are useful in statistical analysis of the data .Initially all the data collect in scattered form but later it organize and change into the numerical facts .
   
In upcoming posts we will discuss about median and Factors and Exponents in Grade V. Visit our website for information on CBSE previous year question papers class 12

Properties of odd/even numbers

Hello students, in this help on math problems session we are going to discuss about the properties of odd numbers and properties of even numbers. But before starting it we will know first about the even numbers and then odd numbers (also read on odd integrand). Even numbers are the numbers that are completely divisible by 2 like: - 4 / 2 = 0, 2 / 2 = 0 etc. and odd numbers are the numbers that are not divisible by the 2 like: - 5 / 2 = 2.5, 3 / 2 = 1.5 etc. Read here for more on even and odd numbers.
Below are the properties of even numbers and odd numbers with the examples:
Addition Properties:
odd number + odd number = even number 3 + 3 = 6,
odd number + even number = odd number 3 + 4 = 7,
even number + even number = even number 4 + 4 = 8,
Subtraction Properties:
odd number - odd number = even number 5 – 5 = 0,
odd number - even number = odd number 5 – 4 = 1,
even number - even number = even number 6 – 6 = 0,
Multiplication Properties:
odd number * odd number = odd number 7 * 7 = 49,
odd number * even number = even number 7 * 4 = 28,
even number * even number = even number 6 * 6 = 36,
Division Properties:
odd number / odd number = odd number 9 / 9 = 0,
even number / odd number = odd number 8 / 3 = 2.66,
even number / even number = even number 8 / 8 = 0,
I hope above information will give valuable information to the readers.


In upcoming posts we will discuss about Collect and represent data and Number Line in Grade V. Visit our website for information on CBSE class 12 home science question bank

Multiplication/division as inverse operations

Hi Friends, today in free answers to math problems session we will focus on Multiplication/division as inverse operations. When we talk about the inverse operation it means the operations that are reverse from the another operation .There are several examples of operations that are inverse with each other as addition and subtraction are the inverse operation as well as integration and differentiation are the inverse operation. Here in this series one of pair of inverse operations are Multiplication and division, for division, multiplication as inverse operations works and for multiplication, division as inverse operations. Also play inverse function worksheets to increase your knowledge.
We take some examples for understanding the multiplication as inverse operations that are as follows:
Example: If there is an expression as 36 / 6 =? Then find the inverse operations of the given expression?
Solution: 36 / 6 = 6,
According to the inverse operation 6 * 6 = 36.
Example: Find the inverse operation of the 150 / 15 =?
Solution: As we know the answer of the given expression is 150 / 15 = 10,
Inverse operation of the given expression is 15 * 10 = 150.
We also define the inverse operation for multiplication that means division as the inverse operation .It will also be explained through the some examples:
Example: If 4 * 5 = 20 then find the inverse operation for given expression?
Solution: As the given expression 4 * 5 =20 then its inverse operation will be division that is denoted as the expression 20 / 4 = 5 and 20 / 5 = 4.
Example: If a given expression is 5 * 7 = 35 then what is the inverse operation for it?
Solution: Inverse operation for the given example is defined by the division operation as
35 / 5 = 7 and 35 / 7 = 5.


In upcoming posts we will discuss about Properties of odd/even numbers and LCM,GCF ,ratios for the students of Grade V. Visit our website for information on CBSE home science syllabus

Probability and Statistics

In this unit we will learn about Probability in Statistics.  The study of probability was introduced for the study of games and cards.
It includes the study which requires the possibility of certainty and chance. How to Solve Probability Problems ? We say that probability is the concept of study of numerical measures of possibility of any event to occur.  So we say that uncertainty is the measure of not occurrence of the event and the certainty is the possibility of occurrence of the event numerically. More details on this subject.
When we need to find the probability of occurrence of any event, we need to look carefully at the experiment.  We say that an experiment is the operation which can produce well defined outcomes of the collection of the events.  In each trial of an experiment, we observe if it is conducted under same and under ideal conditions, then we observe that the outcomes are not the unique solutions, then  if we pick any one of the random event and take its observation  , then we call it the random experiment conducted to measure the possibility of the occurrence of the  event. We come across so many events in our day to day life, which help us to measure the probability of the event. Example: rolling a dice, tossing a coin, pulling out a card out of the pack of 52 cards. We call all of them as the set of random experiments. They help us to find the numerical value of the probability of the random experiment. You can also play probability worksheets grade 3.
 We must also know the term sample space used in the study of probability. We say that a sample space is the set of all possible outcomes in the random experiment which is represented by the variable “S”


In upcoming posts we will discuss about Multiplication/division as inverse operations and Math Blog on Grade V. Visit our website for information on CBSE previous years 11 physics

Estimation in multiplication/division

Hi Friends, In today's free math solver session we will talk about Estimation in multiplication/division. In mathematics, estimation is an important tool to solve the problems (which are related to our daily routine life) in a very quick and easier manner. Estimation plays an important role of handy tool to solve the problem. The concepts of estimation are most widely used in calculating the distance, lengths of time, money and many other physical quantities. In the concept of estimation in mathematics, we generally studied about the concept of rounding off. The concept of rounding off can be considered as a type of estimation. Rounding off is a technique which is used to express a number as a rounded number instead of any exact number. In mathematics, we generally perform the operation of rounding off with the decimal numbers or whole numbers.
Here we show you the process of rounding off with a number:
(a)     First of all look at the place value of the digit form the right hand side of number.
(b)     If the digit is less than 5 then there is no need to perform round off. If in case digit is greater than 5 then add one to the rounding digit and change all the digit to the right to the right of the rounding digit to zero.
we generally perform the concept of rounding off with the mathematical operations like multiplication and division. In the below we show you some of the example that helps in understanding the concept of Estimation in multiplication and Estimation in division.
Example A: estimate the product of given value by rounding to the tens?
                         346 * 17
Solution: In the above we can see that there are two whole values given. So first we perform the rounding off on the numbers:
                 346 becomes 350 and 17 becomes 20
Now there product will be:
                    350 * 20 = 7000
Example b: estimate the division of given value by rounding to the tens?
                      517 / 23
Solution: In the above we can see that there are two whole values given. So first we perform the rounding off on the numbers:
                 517 becomes 520 and 23 becomes 20
Now there product will be:
                    520 * 20 = 1040


In upcoming posts we will discuss about Probability and Statistics and Probability in Grade V. Visit our website for information on CBSE political science board paper

mode

What is Mode? Mode in statistics is used to define or find the value among the set of the data that is occurs most frequently. Mode is used to find the value for a distribution or a raw or unimplemented data set (play data analysis worksheets) that have the maximum frequency. For defining the mode of a give data set is explained in the term which has the maximum number of occurrences in the data set thus the mode of a given data set is the value around which the values of the variable are clustered densely.
For computing the mode of a series of individual operation, we first convert it into the discrete series frequency distribution by preparing the frequency table. From the frequency table we can identify the value having the maximum frequency. The value of the variable so obtained is the mode or the modal value.
We can take some example of understand the mode for following data find mode:
120 , 110 , 130 , 110 , 120 , 140 , 120 , 130 , 140, 120 .
The solution of these data is defined as:
Value (v): 110 120 130 140
Frequency (f) 2 4 2 2.
In this example we observe the value 120 has the maximum frequency then mode (get more details here) or modal value is 120.
There is one other example that defines it as a given set of numbers has mode 25 then the value find as follows:
15, 20, 25, 18, 14, 15, 25, 15, 18, 16, 20, 25, 20, x, 18:
Values (v): 14 15 16 18 20 25 x,
Frequency (f): 1 3 1 3 3 3 1
Then the mode for a given set of data is 25 so it have the maximum frequency this is possible when x = 25. So the value of x = 25.


In upcoming posts we will discuss about Estimation in multiplication/division and Learn Number System. Visit our website for information on business studies class 12 CBSE syllabus

Rounding numbers

When a number is given and the number is rounded (or rounded off), then we approximate a value by eliminating the least significant digits or we can say that you are finding the closest number which is multiple of ten.
Example: - Let there are two number 52 and 385. Round off the given numbers?
Solution: - The number 52 can be rounded down into 50. (This number can be rounded to tens place),
and the number 385 can be rounded up to 400. This number can be rounded to the hundred places.
In case of whole number, whole number can be rounded to the tens place, hundreds place, thousand place and continue so on. If a number is rounded to the tens place than the final form has a zero number for the ones digit and if the number is rounded to the hundreds place than the last two values tens and ones digit is zero.
We have to apply the same procedure for the decimal number. Decimal number (also read how to divide decimals) can also be rounded; this is approximately the number which is nearest to the tenth, hundred and thousand or other given decimal place and if the decimal number is rounded to the tenth place, then the final number has no digit in the hundredths place and when a decimal number is rounded to the hundredths place then the final number has no digit in the thousandths place. Rounding makes the number very easy. Rounded numbers are only approximate number. Rounding number never give exact answer. Rounding the number gives the closest answer but it does not have exact answer.
Now we will see process of Rounding numbers:
Example: - Let there are two number 99 and 21. Change the number into rounding number?
Solution: - The number 99 can be rounded up in to 100. (This number can be rounded to hundred Place),
 The number 21 can be rounded down into 20. (This number can be rounded to tens place),

In upcoming posts we will discuss about mode and How to solve mathematical Expressions. Visit our website for information on CBSE 11 physics book

Associative property of multiplication

Associative property of multiplication (more detail here) is define that without changing the multiplication appends can be group in any way. According to the Associative property, which comes when doing algebra equation solver, if p * (q * r) then it can be group as
( p * q) * r and there is no change in result .It can describe through an example as follows :
6 * (4 * 5) = (6 * 4) * 5 that is equal to 120 in either form. Associative property of multiplication can take three or more variables or values in expression regardless how they are grouped. You can also play associative property worksheets to improve skills. In the expression there is no change in the answer if parenthesis shows the terms that are considered as single unit .Parenthesis shows the grouping of the values means how the numbers are associated together. Associative property of the multiplication is the most basic property of the computations and it should be remember that grouping in the parenthesis are solve first .This property is the basic number property that is describe the rearrangement of the values .There are some examples of Associative property of multiplication as follows :
Suppose one person go to the super market and purchase milk of 10 dollars and buys the 3 packets of it and sometime after buys 2 packets more and two day after buys 3 packets more, how much money one's give to the cashier? The above situation is associative as
Solution: So he buys the packets as 10 * (3 + 2 + 3) = (3 + 2 + 3) * 10
Both the terms are equal means the answer 80 for each of the expression.
So according to the associative property of multiplication expression can be grouped as any how there is no effect on the answer.


In upcoming posts we will discuss about Rounding numbers and Math Blog on Grade V. Visit our website for information on CBSE 10th science syllabus

Multiplication facts and tables

Hello students, in mathematics there are lots of operations which we have to perform so that we can reach on some results. The operations are addition, subtraction, division and multiplication (how to do 3 digit multiplication). Simply the facts mean something  actually happened and the in multiplication facts we find missing term and final results when we already have all terms. For example : -
2 * 10 = ?
Solution will be 20. In this we can get result by adding 2 at ten times and by adding 10 at two times. Both are same.
5 * ? = 20
Missing term will be 4.
Multiplication table for the initial 5 numbers are : -

1 times 1 = 1, 2 times 1 = 2, 3 times 1 = 3, 4 times 1 = 4, 5 times 1 = 5, 6 times 1 = 6
2 times 1 = 2, 2 times 2 = 4, 3 times 2 = 6, 4 times 2 = 8, 5 times 2 = 10, 6 times 2 = 12
3 times 1 = 3, 3 times 2 = 6, 3 times 3 = 9, 4 times 3 = 12, 5 times 3 = 15, 6 times 3 = 18
4 times 1 = 4, 4 times 2 = 8, 3 times 4 = 12, 4 times 4 = 16, 5 times 4 = 20, 6 times 4 = 24
5 times 1 = 5, 5 times 2 = 10, 3 times 5 = 15, 4 times 5 = 20, 5 times 5 = 25, 6 times 5 = 30

Like the above method we can obtained next terms and we can also get more multiplication tables for the other numbers. I hope the information about the multiplication facts and tables will make sense to 4th grade math students


In upcoming posts we will discuss about Associative property of multiplication and How to Sketch Transformations? Visit our website for information on biology syllabus for class 10 ICSE

Equivalent fractions

This unit is for grade IV. In this unit we are going to define equivalent fractions. By Equivalent fractions we mean that the two fractions are equal if when we convert them to the lowest terms, results in  the same fraction. Let us take some example. If we want to check if 3/12 and 6/24 are equivalent fractions or not, then we first convert each of them in their lowest form, by dividing the numerator and the denominator by the same number,(  which is their GCF ). Now we check if the two resultant fractions are same, the given fractions (how to do fractions) are equivalent.
So we first find the GCF of (3 and 12 ), which is 3. Now in 3/12, we divide both numerator and the denominator by 3 and get
(3÷3) /( 12÷3)
= ¼
Now we take the fraction 6/24 and find the GCF of (6 and 24 ), which is 6. Now in 6/24, we divide both numerator and the denominator by 6 and get
(4÷4) /( 24÷6)
= ¼
Thus in both the cases, the result is ¼. Thus the two fractions are equivalent.
Now let us learn  How to find the equivalent fractions for the given fraction?
Let the given fraction is 3/5, we first multiply both the numerator and the denominator by  any number say 2, we get
= (3 * 2) / ( 5 * 2)
=6/10
In the same way  we go on multiplying the numerator and the denominator by the same number, we  will get the series of the equivalent fractions for the given fraction number. We proceed as follows :
= (3 * 3) / ( 5 * 3)
= 9/15
Or = (3 * 4) / ( 5 * 4)
= 12/20
So 6/10, 12/20,  . . . .  are all equivalent  fractions of  3/5

In upcoming posts we will discuss about Multiplication facts and tables and How to tackle Decimals and Percentage problems? Visit our website for information on syllabus of economics for ICSE class 12

Factors and products

Hi friends, In this help with algebra session we will discuss about factors and products. Factors and products are the important part in mathematical calculation. Factors and Products specify the multiplication of two or more numbers. In the multiplication, factors are considered as those numbers that are multiplied and the obtained result is called as a product. In the general aspect, a product is the result for multiplying the numbers or expressions that are specified as factors. In the order of factor we take the number of number system like real numbers, whole numbers and complex numbers that are multiplied for obtaining the product. In the concept of factor and product, we can use different type of properties to solve the question and helps the student of Grade IV. You can also try factor algebra calculator
Here we show you the example:
13 * 3 = 39
In the above equation we can see that 13 and 3 are two numbers on which multiplication is being performed. The numbers 13 and 3 are specified as factor of expression and the obtained result 39 is considered as a product of the expression.
From the given multiplication expression we can make the two division expressions. Let’s show you below:
a) 39 / 3 = 13
b) 39 / 13 = 3
In the simple definition of factor and product, factoring is the process of taking a number apart. It mean to say that to expressing a number as the product of its factor. Factor can be described as either a composite number or a prime number but one thing to remember that 0 and 1 is not a composite number or not a prime number.
Suppose there is a number 16 which is multiple of 8 because it can be divided by 8 evenly. Let’s show you below:
8 * 2 =16
Here 8 and 2 are the factors and 16 can be considered as a product of given factor.


In upcoming posts we will discuss about Equivalent fractions and Whole Numbers and Place Value in Grade V. Visit our website for information on 12th biology syllabus Maharashtra board

Multiplication problems

This unit is designed for Grade IV and here in help in math session we are going to learn about Multiplication problems. We know that multiplication word means to add repeatedly and to increase in the fixed quantity. Here we are dealing with the problems of multiplication, we need to first learn that what all are the problems of multiplication, how to do double digit multiplication and  how to recognize such problems.
Some times we come across real life problems, in which we are given the cost of one article and we need to find the cost of more than one article. For instance if we say that the cost of 1 cod drink is $2, now if a child wants to buy 2 cold drinks, he needs $2 + $ 2 =$4 . Further if he requires three cold drinks, he will spend  $2 + $ 2 + $2 = $ 6. Thus what we observe is that every time the number of cold drinks is increasing , we are adding $2 to the previous total, or we can say that the cost of unit article is added the number of times the object is required. It can also be done more easily if there are n number of objects and the cost of 1 article is multiplied by n. for more on this subject visit this
This is easier and simple method of getting the solution for problems of multiplication.
Example: If 1 sack of rice cost 25$, then find the cost of 5 sacks of cement.
Sol: We know that the cost of 1 sack of cement = $ 25
So, to find the cost of 5 sacks of cement, we need to  multiply the cost of the unit  sack by the number of the sacks required.
So we get = $25 * 5 = 125 $
In this way all such real life problems can be solved using multiplication.

In upcoming posts we will discuss about Factors and products and Measurement in Grade V. Visit our website for information on 12th biology Maharashtra board syllabus

Positive numbers

Hello Grade IV students, in this help on math problems session we are going to discuss the positive numbers. Numbers help us to count something. And many types of numbers are used in our daily life, such as real, positive, negative, zero and many more. Without the help of numbers the mathematics is nothing. In mathematics we also use the positive numbers. Let’s define positive numbers; they are the numbers that are greater than the zero.
For example : - 1, 2, 3, 6, 7, 65 they all are the positive numbers. Sometimes we include decimal number in the positive numbers but they should be greater than zero. Like 2.6, 56.67.
Positive numbers are also known as the natural numbers. In the whole numbers we do not include the 0. The positive numbers are denoted by the positive ' + ' symbol. This symbol is used when we have to show that we have positive numbers like +2, +45, +4, +87, +23 , if we do not apply this + symbol before the number, then it does not mean that the number is negative. The numbers are by default positive (more details here), if they are not containing any type of symbol.
Positive numbers are the just opposite of the negative numbers (play negative numbers worksheet here). To understand the positive numbers, let’s take an example : - -6 -7 -8 -9 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 7 8 9
In above number row the numbers that are right to the zero are called the positive numbers. And those numbers that are left to the zero are called the negative numbers.
We can perform any operation on the positive numbers like addition, subtraction, multiplication and division.

In upcoming posts we will discuss about Multiplication problems and Polygons in Grade V. Visit our website for information on 12th physics syllabus Maharashtra board

Negative numbers

Hello students, in this session we are going to discuss the negative numbers for Grade IV. Numbers are helpful to count anything. And in mathematics we used so many types of numbers; for example real, positive, negative, whole, prime, odd and even and many more. We cannot imagine the calculation in mathematics without the help of numbers. In mathematics we also use the negative numbers, now the question is that how to define negative numbers, let’s take a look. They are the numbers that are less than the zero.
For example : - -1, -4, -5, -9, -75 these are the negative numbers. (Also improve your skills by reading Negative Correlation Coefficient)
In the negative numbers we do not include the 0. The negative numbers are denoted by this ' - ' symbol. This symbol is called the Minus sign or symbol and we used this symbol when we need to show that we have negative numbers for example -7, -85, -124, -5543, if you want to show the negative numbers then it is necessary to apply the sign or put this sign just before the number. (also play adding and subtracting positive and negative numbers worksheet)
Negative numbers are the just opposite of the positive numbers. We can express the negative numbers by taking an example : - -9 -8 -7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 7 8 9
In above number line the numbers that are left to the zero are known as the negative numbers. And those numbers that are right to the zero are said to be the positive numbers.
In negative numbers we can also perform any binary operation such as addition, subtraction, multiplication and division. Mainly negative numbers are used in the accounting and science to show the less than zero values.


In upcoming posts we will discuss about Positive numbers and Estimates of Measurements in Grade V. Visit our website for information on West Bengal council of higher secondary education syllabus

Multiplication and division situations

Hi Friends! In this free math homework help session we will discuss about Multiplication and division situations. Multiplication and division situations are included for the students of grade IV. There are some situations that occur requiring the Multiplication situations or division situations that are as follows :

( 1 ) Equal groups : It can be understood by an example: if there are three boxes and each of them contains 4 balls then what are total number of balls in three boxes?

These types of questions produce the multiplication situation. The total balls are 3 * 4 = 12 balls.

And when total number of balls are given and number of boxes are given then it produces the division situation for getting the number of balls in each box as 3 * Balls in each box =12 or balls in each box = 12 / 3 = 4 .

( 2 ) Arrays / area : If there are three rows of cycles in the ground and in each row there are 6 cycles then how many cycles are there ?

This situation also requires the multiplication as total number of cycles are 3 * 6 = 18 cycles .

If we are given the total number of cycles and we have to give the cycles min each row and then find the number of rows. It produces the division situation as number of rows * 6 = 18 or number of rows = 18 / 6 = 3 rows.

( 3 ) Comparison : If there is comparison between the two objects as if length of one rope is double then the other rope of length 10 cm then find the length of first rope ? (also read difference between integration and differentiation)

Above situation is defined for the multiplication situation as length of first rope = 2 * length of second rope

Then l = 2 * 10 cm = 20 cm.

Or if there is a situation as Sam has 4 apples and Gim has half of them then it is division situation as

Gim's apples = 4 * 1/ 2 = 2 apples.

In upcoming posts we will discuss about Negative numbers and Unit Conversion and Measurement in Grade V. Visit our website for information on CBSE 11 physics book

Addition and subtraction

Number system is the basic tool for the mathematics to solve various types of problem. In the number system we generally deal with whole numbers, natural numbers, integers and decimals values. To perform the various tasks we being free math problem solver, execute the concept of operation with them. In the concept of operation, most popular operations are addition, subtraction, multiplication and division. Addition and subtraction are the most popular operations which are performed by students of Grade IV in a very easier way.
Addition: This concept can be defined as total of two or more numbers for generating the single value. The addition can be performed with single digit numbers to multiple digit numbers. The addition operation represented by the ( + ) plus symbol. In the concept of addition, there is no boundary for the no. of digit in the value that are used in the addition. In a more specific form addition is a mathematical operation that combine the collections of values into larger collection value. Addition operation can easily be executed on rational numbers or fractional numbers. Lets show you below the process of addition:
Example: Find the total of given numbers 1234 and 4321?
Solution: now we follow the process step by step
step 1: Arrange the numbers in following manner
   1 2 3 4
+ 4 3 2 1
_________________
   5 5 5 5
step 2: In this always remember, start the process from right hand side to left hand side.

Subtraction: This operation can be define as “compare the two different values and show the difference value into the new collection. Subtraction can be represented by the ( - ) minus symbol. Like a addition, subtraction can also be performed on any number of number system. Let's show you the process of subtraction into the given example:
Example: Find the difference value of given number 456 and 123?
Solution: 4 5 6
             - 1 2 3
_______________
              3 3 3


In upcoming posts we will discuss about Multiplication and division situations and Direct, Indirect, Standard, and Non-standard Units. Visit our website for information on business studies class 12 CBSE syllabus